Solution of linear system of differential equations by rational canonical form

DOI10.1007/S40840-020-00951-6zbMath1460.34023OpenAlexW3035613350MaRDI QIDQ2227959

Z. Pourfereidouni, Mehdi Radjabalipour

Publication date: 16 February 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00951-6

zbMATH Keywords

Jordan canonical formrational canonical formalgebraic derivativelinear systems of algebraic differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Cites Work

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• Formulae of partial reduction for linear systems of first order operator equations
• A derivative on the field of \(p\)-adic numbers
• A symmetrization of the Jordan canonical form
• Jordan Canonical Form: Application to Differential Equations
• Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients

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